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Finding the Fourth Proportional to 466.10, 643.22 and 256.29

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Solution

The fourth proportional to 466.10, 643.22 and 256.29 is: 353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.10 : 643.22 = 256.29 : x
  2. Step 2: Convert to fraction form
    466.10/643.22 = 256.29/x
  3. Step 3: Cross multiply
    466.10x = 643.22 × 256.29
  4. Step 4: Simplify right side
    466.10x = 164,849.57
  5. Step 5: Solve for x
    x = 164,849.57/466.10
  6. Step 6: Final answer
    x = 353.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.